1. The ball moves forward at a constant rate for the first half of the graph. Then velocity increases and is constant for the remainder of the graph. The ball does not accelerate for the the first or second half of the graph, it just increases to a greater velocity after .75 seconds.
2. Graph A is correct because for the first half of the graph (.75 seconds) it is linear, which correctly represents the constant velocity of the ball. Also, in the second half of the graph, the velocity increased and was linear, which represents a greater constant velocity that the first half. Graph B is incorrect because velocity decreases in the second half of the graph, and the ball's velocity clearly increased. Graph C is incorrect because there is a jump, which did not occur in the ball's movement.
3. Graph D is correct because it indicates zero acceleration for both the first and second parts of the graphs. Graph E is incorrect because it is linear which represents constant acceleration, and the ball did not constantly accelerate. Graph F is incorrect because it shows that the ball has zero acceleration, and then suddenly begins to accelerate at a constant rate. This isn't correct because the ball's acceleration never constantly increased.
2. Graph A is correct because for the first half of the graph (.75 seconds) it is linear, which correctly represents the constant velocity of the ball. Also, in the second half of the graph, the velocity increased and was linear, which represents a greater constant velocity that the first half. Graph B is incorrect because velocity decreases in the second half of the graph, and the ball's velocity clearly increased. Graph C is incorrect because there is a jump, which did not occur in the ball's movement.
3. Graph D is correct because it indicates zero acceleration for both the first and second parts of the graphs. Graph E is incorrect because it is linear which represents constant acceleration, and the ball did not constantly accelerate. Graph F is incorrect because it shows that the ball has zero acceleration, and then suddenly begins to accelerate at a constant rate. This isn't correct because the ball's acceleration never constantly increased.